Answer:
The set of numbers that could not represent the three sides of a right triangle are;
{9, 24, 26}
Step-by-step explanation:
According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;
r² = x² + y²
Where;
r > x, r > y
Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;
Set 1;
95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle
Set 2;
82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle
Set 3;
26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle
Set 4;
39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle
Answer:
A. 90°+m∠4
Step-by-step explanation:
Also
∠
A
+
∠
C
=
180 o
=
∠
B
+
∠
D
⇒
2
x+
(
3
x
−
5
)
=
180 0
=
(
x
+
5
)
+ ∠ C
5
x − 5 = 180
Add 5 to both sides
5
x = 185
Divide both sides by 5
x = 185 5 = 37
But it was A. 90°+m∠4
